Chopping Time of the FPU [Formula omitted]-Model

We study, both numerically and analytically, the time needed to observe the breaking of an FPU [Formula omitted]-chain in two or more pieces, starting from an unbroken configuration at a given temperature. It is found that such a "chopping" time is given by a formula that, at low temperatu...

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Bibliographic Details
Published in:Journal of statistical physics 2018-03, Vol.170 (5), p.883
Main Authors: Carati, A, Ponno, A
Format: Article
Language:English
Online Access:Get full text
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Summary:We study, both numerically and analytically, the time needed to observe the breaking of an FPU [Formula omitted]-chain in two or more pieces, starting from an unbroken configuration at a given temperature. It is found that such a "chopping" time is given by a formula that, at low temperatures, is of the Arrhenius-Kramers form, so that the chain does not break up on an observable time-scale. The result explains why the study of the FPU problem is meaningful also in the ill-posed case of the [Formula omitted]-model.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-018-1962-8